Find the exact arc length of the curve over the stated interval. (did this and got a big miss trying to find derivative of x & y)

Question

anonymous · Answer

attachment

ganeshie8 · Answer

ganeshie8 · Answer

im getting that ^

anonymous · Answer

i was working according to this formula...

ganeshie8 · Answer

yeah me too using same formula

anonymous · Answer

@ganeshie8 ok i actually tried that as well and got the same as you. I'm a little nervous to type that in :|

anonymous · Answer

O_o it was right

ganeshie8 · Answer

hmm that was only for confirming ur work lol, after working manually we should arrive at the same answer

ganeshie8 · Answer

i think it gona simplify cuz of sin^2 and cos^2 terms inside the radical...

anonymous · Answer

hmm ok! I'm going to try to work it out myself. gosh this problem is nasty!

ganeshie8 · Answer

evil professor -_-

ganeshie8 · Answer

Enjoy...

anonymous · Answer

the things we do for extra credit :( lol

anonymous · Answer

thank you @ganeshie8 !!

ganeshie8 · Answer

i dont see any shortcuts, guess u wil have to take dx/dt + square it, dy/dt + square it + simplify yw :D